Grade 10 · Math · Geometry

10th grade Segment lengths from chords, secants and tangents worksheet

6 printable versionsBuilding Confidence10 questions · answer keyFree · no account

Level: Building Confidence · On Level · Challenge Me

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Segment lengths from chords, secants and tangents

Grade 10 Math Worksheet - Building Confidence

NameDate

Circle the best answer, or write your answer on the line.

Noah cuts two crossing straight lines on a round pizza. Chords CF and DG of circle O cross at H. How long is HG, in cm?
Pia draws two crossing chords on a clock face. Chords CF and DG of circle O cross at H. How long is HG, in cm?
Tala sews two crossing stripes on a round rug. Chords CF and DG of circle O cross at H. How long is HG, in cm?
Zee maps a round pond and a bench at Q. QC is tangent to circle O, and a secant from Q passes through D and F. How long is the whole secant QF, in cm?
Ari draws lines from Q to a round gear. QC is tangent to circle O, and a secant from Q passes through D and F. How long is the whole secant QF, in cm?
Bo stretches strings from Q to a drum. QC is tangent to circle O, and a secant from Q passes through D and F. How long is the whole secant QF, in cm?
Jun maps two paths from Q across a round pond. Secants QCD and QGF meet at Q, outside circle O. How long is the whole secant QF, in cm?
Kira cuts two lines from Q across a round pizza. Secants QCD and QGF meet at Q, outside circle O. How long is the whole secant QF, in cm?
Luz draws two lines from Q across a clock face. Secants QCD and QGF meet at Q, outside circle O. How long is the whole secant QF, in cm?
Milo lays two strings from Q across a round rug. Secants QCD and QGF meet at Q, outside circle O. How long is the whole secant QF, in cm?

Segment lengths from chords, secants and tangents. Every version has 10 questions, and the answer key prints on the second page.

Standard: G-C.A.2

segment: A straight piece of a line with two ends.

secant segment: From an outside point Q through the circle to the far side.

outside piece: The part of a secant from Q to the circle.

whole secant: The outside piece plus the piece inside the circle.

tangent segment: From Q to the point where the tangent touches.

Your child made the sums of the chord pieces equal instead of the products.

Your child multiplied a piece of one chord by a piece of the other.

Your child doubled the tangent length instead of multiplying it by itself.

Ask: two chords cross; do the pieces add up the same, or multiply the same?

Ask: which two pieces make up chord CF?

Ask: what does QC² mean?

What is the most common mistake with segment lengths from chords, secants and tangents?

Your child made the sums of the chord pieces equal instead of the products.

How can I help my child with segment lengths from chords, secants and tangents?

Ask: two chords cross; do the pieces add up the same, or multiply the same?

Are these 10th grade math worksheets free to print?

Yes. All 6 printable versions at each level are free to print, with the answer key, and no account is needed.

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